Mean equicontinuity and mean sensitivity on cellular automata
Dynamical Systems
2023-06-22 v3 Cellular Automata and Lattice Gases
Abstract
We show that a cellular automaton (or shift-endomorphism) on a transitive subshift is either almost equicontinuous or sensitive. On the other hand, we construct a cellular automaton on a full-shift (hence a transitive subshift) that is neither almost mean equicontinuous nor mean sensitive.
Cite
@article{arxiv.2003.01311,
title = {Mean equicontinuity and mean sensitivity on cellular automata},
author = {Luguis de los Santos Baños and Felipe García-Ramos},
journal= {arXiv preprint arXiv:2003.01311},
year = {2023}
}
Comments
to appear in Ergodic theory and dynamical systems